The well-posedness analysis of distributed order fractional diffusion problems on $${\mathbb {R}}^N$$
The well-posedness analysis of distributed order fractional diffusion problems on $${\mathbb {R}}^N$$
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DOI：
10.1007/s00605-021-01631-8
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发表时间：
2021-09
期刊：
影响因子：
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通讯作者：
Li Peng;Yong Zhou;J. He
中科院分区：
文献类型：
--
作者：
Li Peng;Yong Zhou;J. He
This paper is devoted to the study of a semilinear diffusion problem with distributed order fractional derivatives on, which can be used to characterize the ultra-slow diffusion processes with time-dependent logarithmical-law attenuation. We use the resolvents approach to present the local well-posedness of mild solutions belonging to, in which theestimates and continuity of the operator are first established. Then, under the assumption on the initial value belonging to, the global well-posedness of mild solutions is derived. Moreover, a decay estimate innorm is included.
